The distance between the two parallel li...

The distance between the two parallel lines is 1 unit. A pont 'A' is chosen to lie between the lines at a distance 'd' from one of them. Triangle ABC is equilateral with B on one line and C on the other parallel line. The length of the side of the equilateral triangle is

Topper's Solved these Questions

THE STRAIGHT LINES
ARIHANT MATHS ENGLISH|Exercise Example|3 Videos
THE STRAIGHT LINES
ARIHANT MATHS ENGLISH|Exercise JEE Tyep Solved Examples : (Paragraph Based Questions)|12 Videos
SETS, RELATIONS AND FUNCTIONS
ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos
THEORY OF EQUATIONS
ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

Similar Questions

Explore conceptually related problems

ABC is an equilateral triangle such that the vertices B and C lie on two parallel at a distance 6. If A lies between the parallel lines at a distance 4 from one of them then the length of a side of the equilateral triangle.

Find the distance between the parallel lines ax+by+c=0 and ax+by+d=0

If the angle between two lines is pi/4 and slope of one of the lines is 1/2 , find the slope of the other line.

The distance between the two lines represented by the sides of an equilateral triangle a right-angled triangle an isosceles triangle

If the distance between incenter and one of the excenter of an equilateral triangle is 4 units, then find the inradius of the triangle.

In triangle ABC, line joining the circumcenter and orthocenter is parallel to side AC, then the value of tan A tan C is equal to

The number of lines of symmetry of an equilateral triangle is (a) 1 (b) 2 (c) 3 (d) 0

In triangle ABC, the line joining the circumcenter and incenter is parallel to side AC, then cos A + cos C is equal to

In triangle ABC if the line joining incenter to the circumcenter is parallel to the base BC, then the value of (cosB + cosC-1) is equal to

ARIHANT MATHS ENGLISH-THE STRAIGHT LINES-Exercise (Questions Asked In Previous 13 Years Exam)

The distance between the two parallel lines is 1 unit. A pont 'A' is c...
Text Solution
|
The line parallel to the x-axis and passing through the intersection o...
Text Solution
|
A straight line through the point A (3,4) is such that its intercept b...
Text Solution
|
The line L1:""y""-""x""=""0 and L2:""2x""+""y""=""0 intersect the line...
Text Solution
|
Let P-=(-1,0),Q-=(0,0), "and " R-=(3,3sqrt(3)) " be three points". T...
Text Solution
|
The perpendicular bisector of the line segment joining P (1, 4) and...
Text Solution
|
The lines p(p^2+1)x-y+q=0 and (p^2+1)^2x+(p^2+1)y+2q=0 are perpendicul...
Text Solution
|
The Line L given by (x)/(5) + (y)/(b) =1 passes through the point (13,...
Text Solution
|
A straight line L through the point (3,-2) is inclined at an angle 60^...
Text Solution
|
The line L1:""y""-""x""=""0 and L2:""2x""+""y""=""0 intersect the line...
Text Solution
|
If the line 2x+y=k passes through the point which divides the line seg...
Text Solution
|
A ray of light along x+sqrt(3) y = sqrt(3) gets reflected upon reachin...
Text Solution
|
For a gt b gt c gt 0, the distance between (1, 1) and the point of int...
Text Solution
|
Let P S be the median of the triangle with vertices P(2,2),Q(6,-1)a...
Text Solution
|
Let a, b, c and d be non-zero numbers. If the point of intersection of...
Text Solution
|
For a point P in the plane, let d(1)(P) " and " d(2)(P) be the distanc...
Text Solution
|
The number of points, having both co-ordinates as integers, that lie i...
Text Solution
|
Two sides of a rhombus are along the lines x-y+1=0 and 7x-y-5=0. If it...
Text Solution
|